Question

For a spring mass damper system, m = 50 kg, k = 5000 N/m and C/Cc =1/2 . Find the following: (a) Critical damping coefficient (b) Damped natural frequency (c) Logarithmic decrement​

Answer 1

Answer:

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Answer 2

Answer:

a) 1000kg/s

b)8.6603 rad/s

Explanation:

Critical damping constant = 2 (km)^1/2

=2*(5000*50)^1/2

=1000 kg/s

zeta=C/Cc

=1/2

omega d = omega n {( 1-zeta^2)}^1/2

= (km)^1/2 * {( 1-zeta^2)}^1/2

=(5000/50)^1/2 {1-(1/2)^2}^1/2

=8.6603 rad/s